PERSISTENTLY LAMINAR TANGLES-Reference-Cited by-同舟云学术

PERSISTENTLY LAMINAR TANGLES

Published:1999-06 Issue:04 Volume:08 Page:415-428
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BRITTENHAM MARK¹

Affiliation:

1. University of North Texas, Department of Mathematics, Box 305118, Denton, TX 76203-5118, USA

Abstract

We show how to build tangles T in a 3-ball with the property that any knot obtained by tangle sum with T has a persistent lamination in its exterior, and therefore has property P. The construction is based on an example of a persistent lamination in the exterior of the twist knot 61, due to Ulrich Oertel. We also show how the construction can be generalized to n-string tangles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216599000286

Reference8 articles.

1. Cubes with knotted holes

2. Exceptional Seifert-fibered spaces and Dehn surgery on 2-bridge knots

3. ESSENTIAL LAMINATIONS, EXCEPTIONAL SEIFERT-FIBERED SPACES, AND DEHN FILLING

4. Essential Laminations in 3-Manifolds

5. Closed incompressible surfaces in alternating knot and link complements

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